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Finding the Third Proportional to 70,142 and 153,136

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Solution

The third proportional to 70,142 and 153,136 is: 334,330.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,142 : 153,136 = 153,136 : x
  2. Step 2: Convert to fraction form
    70,142/153,136 = 153,136/x
  3. Step 3: Cross multiply
    70,142x = 153,136 × 153,136
  4. Step 4: Simplify right side
    70,142x = 23,450,634,496
  5. Step 5: Solve for x
    x = 23,450,634,496/70,142
  6. Step 6: Final answer
    x = 334,330.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.